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Finding the Third Proportional to 917,856 and 1,968,471

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Solution

The third proportional to 917,856 and 1,968,471 is: 4,221,662.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,856 : 1,968,471 = 1,968,471 : x
  2. Step 2: Convert to fraction form
    917,856/1,968,471 = 1,968,471/x
  3. Step 3: Cross multiply
    917,856x = 1,968,471 × 1,968,471
  4. Step 4: Simplify right side
    917,856x = 3,874,878,077,841
  5. Step 5: Solve for x
    x = 3,874,878,077,841/917,856
  6. Step 6: Final answer
    x = 4,221,662.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.